Answer:
r = 0.93
Step-by-step explanation:
The correlation coefficient gives us the "strongness" of two variables associated.
This is the value "r".
It is positive if there is strong relationship (one goes up, another goes up and vice versa)
It is negative, if one goes up and another goes down (inverse relationship)
First of all, from the scatter points, we see that as x increases, y also tend to increase. And if we were to draw a line of best fit that goes through max points, we would see the line slopes UPWARD (means as x increases, y also increase).
Thus, the value of "r" will be positive. So we can eliminate first and second choice. Now remains the other two choices
0.64
0.93
The closer the value to 1, the more that line is slopier, and less that value from 1, the line will be less "slopy".
A perfect one would be a line with slope 1, as 1 unit increase in x, the y increases 1 unit as well.
So, if we were to draw a line, we would see that it will be very close to a value of 1. The value of 0.64 can be eliminated because the points are not much "relaxed" as it should be for 0.64.
So, the correct choice is the 4th choice, r = 0.93
